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Earnings per Share - Schedule of Earnings Per Share - Basic and Diluted (Details) - USD ($) $ / shares in Units, $ in Thousands	1 Months Ended	3 Months Ended								12 Months Ended
	Mar. 31, 2017	Mar. 31, 2020	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Net income attributable to HLI
Net income attributable to HLI		$ 20,648	$ 13,497	$ 15,299	$ 11,381	$ 8,048	$ 5,458	$ 11,222	$ 8,845	$ 60,825	$ 33,573	$ 17,341
Common Class A
Net income attributable to HLI
Assumed exercise and vesting of employee awards										352	355	356
Diluted EPS of Class A common stock										$ 61,177	$ 33,928	$ 17,697
Weighted-Average Shares
Weighted-average shares of Class A common stock outstanding (in shares)										28,088,578	23,836,401	18,414,715
Assumed exercise of outstanding options and vesting of restricted stock (in shares)										350,194	462,394	575,654
Weighted-average shares of Class A common stock outstanding - diluted (in shares)										28,438,772	24,298,795	18,990,369
Per share amount
Basic earnings per share (in dollars per share)	$ 0.94	$ 0.71	$ 0.46	$ 0.56	$ 0.43	$ 0.32	$ 0.22	$ 0.49	$ 0.40	$ 2.17	$ 1.41	$ 0.94
Diluted earnings per share (in dollars per share)	$ 0.93	$ 0.70	$ 0.46	$ 0.56	$ 0.42	$ 0.31	$ 0.22	$ 0.49	$ 0.39	$ 2.15	$ 1.40	$ 0.93

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